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Simplifying 5x + -4(x + 9) = 10x + 24 Reorder the terms: 5x + -4(9 + x) = 10x + 24 5x + (9 * -4 + x * -4) = 10x + 24 5x + (-36 + -4x) = 10x + 24 Reorder the terms: -36 + 5x + -4x = 10x + 24 Combine like terms: 5x + -4x = 1x -36 + 1x = 10x + 24 Reorder the terms: -36 + 1x = 24 + 10x Solving -36 + 1x = 24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -36 + 1x + -10x = 24 + 10x + -10x Combine like terms: 1x + -10x = -9x -36 + -9x = 24 + 10x + -10x Combine like terms: 10x + -10x = 0 -36 + -9x = 24 + 0 -36 + -9x = 24 Add '36' to each side of the equation. -36 + 36 + -9x = 24 + 36 Combine like terms: -36 + 36 = 0 0 + -9x = 24 + 36 -9x = 24 + 36 Combine like terms: 24 + 36 = 60 -9x = 60 Divide each side by '-9'. x = -6.666666667 Simplifying x = -6.666666667
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